Symmetry, Integrability and Geometry: Methods and Applications
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


SIGMA:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

Symmetry, Integrability and Geometry: Methods and Applications, 2017, Volume 13, 071, 16 pp.
DOI: https://doi.org/10.3842/SIGMA.2017.071 (Mi sigma1271) 		 
This article is cited in 5 scientific papers (total in 5 papers)

$N$-Bright-Dark Soliton Solution to a Semi-Discrete Vector Nonlinear Schrödinger Equation

Bao-Feng Fenga, Yasuhiro Ohtab

a School of Mathematical and Statistical Sciences, The University of Texas Rio Grande Valley, Edinburg, TX 78539, USA
b Department of Mathematics, Kobe University, Rokko, Kobe 657-8501, Japan
Full-text PDF (392 kB) Citations (5)
References:
PDF
HTML
DOI: https://doi.org/10.3842/SIGMA.2017.071
Abstract: In this paper, a general bright-dark soliton solution in the form of Pfaffian is constructed for an integrable semi-discrete vector NLS equation via Hirota's bilinear method. One- and two-bright-dark soliton solutions are explicitly presented for two-component semi-discrete NLS equation; two-bright-one-dark, and one-bright-two-dark soliton solutions are also given explicitly for three-component semi-discrete NLS equation. The asymptotic behavior is analysed for two-soliton solutions.
Keywords: bright-dark soliton; semi-discrete vector NLS equation; Hirota's bilinear method; Pfaffian.
Funding agency Grant number
National Science Foundation 1715991
University of Texas Rio Grande Valley COS Research Enhancement Seed Grants Program
Japan Society for the Promotion of Science B-24340029
S-24224001
C-15K04909
26610029
The work of B.F. is partially supported by NSF Grant (No. 1715991) and the COS Research Enhancement Seed Grants Program at UTRGV. The work of Y.O. is partly supported by JSPS Grant-in-Aid for Scientific Research (B-24340029, S-24224001, C-15K04909) and for Challenging Exploratory Research (26610029).
Received: April 25, 2017; in final form September 3, 2017; Published online September 6, 2017
Bibliographic databases:
Document Type: Article
MSC: 39A10; 35Q55
Language: English
Citation: Bao-Feng Feng, Yasuhiro Ohta, “$N$-Bright-Dark Soliton Solution to a Semi-Discrete Vector Nonlinear Schrödinger Equation”, SIGMA, 13 (2017), 071, 16 pp.
Citation in format AMSBIB
\Bibitem{FenOht17}
\by Bao-Feng~Feng, Yasuhiro~Ohta
\paper $N$-Bright-Dark Soliton Solution to a Semi-Discrete Vector Nonlinear Schr\"odinger Equation
\jour SIGMA
\yr 2017
\vol 13
\papernumber 071
\totalpages 16
\mathnet{http://mi.mathnet.ru/sigma1271}
\crossref{https://doi.org/10.3842/SIGMA.2017.071}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000410662100001}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85029180402}
Linking options:
  • https://www.mathnet.ru/eng/sigma1271
  • https://www.mathnet.ru/eng/sigma/v13/p71
    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Symmetry, Integrability and Geometry: Methods and Applications
    Statistics & downloads:
    Abstract page:178
    Full-text PDF :28
    References:19
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024